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 数学进展
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 Hopf代数上的扭曲模和(斜)余配对Hopf模 Twisting Modules in Hopf Algebras and (Skew) Copaired Hopf Modules 方小利;李金其; FANG Xiaoli, LI Jinqi 浙江大学玉泉校区数学系,浙江师范大学数理学院 杭州,浙江,310027,金华,浙江,321004 (Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang,310027, P. R. China; College of Mathematics and Physics,Zhejiang Normal University,Jinhua,Zhejiang,321004, P. R.China 收稿日期: 2007-04-25 出版日期: 2007-04-25
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 摘要 本文第一部分主要把扭曲的方法运用到模上,从而得到扭曲模．作为特例,我们构造了H  M的Smaush模和量子模．当K是有限维Hopf代数,证明K*  M是一个右D(K)-Hopf模,因此得到了一个基本同构定理．第二部分主要把斜余配对双代数进行推广,得到了斜余配对Hopf模,并且给出判断斜余配对Hopf模的一个充要条件． 关键词 ： (余)配对双代数,  扭曲模,  斜余配对Hopf模 Abstract：In Section 1, we can get twisting modules by the method of twisting which is used in modules. The construction of the Smash modules and the quantum modules for H  M appear as special cases. Let K be a finite dimensional Hopf algebra. We show K*  M is right D(K)- Hopf modules. Therefore, we get the fundamental struture theorem of right D(K)-Hopf modules. In Section 2, we introduce skew copaired Hopf modules which generalize skew copaired bialgebras. Then, we give the neccessary and sufficient conditions which make them become skew copaired Hopf modules. Key words： twisting modules    skew copaired Hopf modules
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